{"id":"https://openalex.org/W4286611172","doi":"https://doi.org/10.1145/3528223.3530069","title":"Penetration-free projective dynamics on the GPU","display_name":"Penetration-free projective dynamics on the GPU","publication_year":2022,"publication_date":"2022-07-01","ids":{"openalex":"https://openalex.org/W4286611172","doi":"https://doi.org/10.1145/3528223.3530069"},"language":"en","primary_location":{"id":"doi:10.1145/3528223.3530069","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3528223.3530069","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3528223.3530069","source":{"id":"https://openalex.org/S185367456","display_name":"ACM Transactions on Graphics","issn_l":"0730-0301","issn":["0730-0301","1557-7368"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Graphics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://dl.acm.org/doi/pdf/10.1145/3528223.3530069","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5011630012","display_name":"Lei Lan","orcid":"https://orcid.org/0000-0001-5743-9987"},"institutions":[{"id":"https://openalex.org/I8078737","display_name":"Clemson University","ror":"https://ror.org/037s24f05","country_code":"US","type":"education","lineage":["https://openalex.org/I8078737"]},{"id":"https://openalex.org/I223532165","display_name":"University of Utah","ror":"https://ror.org/03r0ha626","country_code":"US","type":"education","lineage":["https://openalex.org/I223532165"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Lei Lan","raw_affiliation_strings":["Clemson University & University of Utah"],"affiliations":[{"raw_affiliation_string":"Clemson University & University of Utah","institution_ids":["https://openalex.org/I223532165","https://openalex.org/I8078737"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5053828563","display_name":"Guanqun Ma","orcid":"https://orcid.org/0000-0001-8102-3172"},"institutions":[{"id":"https://openalex.org/I223532165","display_name":"University of Utah","ror":"https://ror.org/03r0ha626","country_code":"US","type":"education","lineage":["https://openalex.org/I223532165"]},{"id":"https://openalex.org/I8078737","display_name":"Clemson University","ror":"https://ror.org/037s24f05","country_code":"US","type":"education","lineage":["https://openalex.org/I8078737"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Guanqun Ma","raw_affiliation_strings":["Clemson University & University of Utah"],"affiliations":[{"raw_affiliation_string":"Clemson University & University of Utah","institution_ids":["https://openalex.org/I223532165","https://openalex.org/I8078737"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5067760326","display_name":"Yin Yang","orcid":"https://orcid.org/0000-0001-7645-5931"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Yin Yang","raw_affiliation_strings":["Clemson University and University of Utah & Timestep Inc"],"affiliations":[{"raw_affiliation_string":"Clemson University and University of Utah & Timestep Inc","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101571936","display_name":"Changxi Zheng","orcid":"https://orcid.org/0000-0001-9228-1038"},"institutions":[{"id":"https://openalex.org/I2250653659","display_name":"Tencent (China)","ror":"https://ror.org/00hhjss72","country_code":"CN","type":"company","lineage":["https://openalex.org/I2250653659"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Changxi Zheng","raw_affiliation_strings":["Columbia University & Tencent Pixel Lab"],"affiliations":[{"raw_affiliation_string":"Columbia University & Tencent Pixel Lab","institution_ids":["https://openalex.org/I2250653659"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5087311970","display_name":"Minchen Li","orcid":"https://orcid.org/0000-0001-9868-7311"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Minchen Li","raw_affiliation_strings":["University of California & TimeStep Inc"],"affiliations":[{"raw_affiliation_string":"University of California & TimeStep Inc","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5068163735","display_name":"Chenfanfu Jiang","orcid":"https://orcid.org/0000-0003-3506-0583"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Chenfanfu Jiang","raw_affiliation_strings":["University of California & TimeStep Inc"],"affiliations":[{"raw_affiliation_string":"University of California & TimeStep Inc","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5011630012"],"corresponding_institution_ids":["https://openalex.org/I223532165","https://openalex.org/I8078737"],"apc_list":null,"apc_paid":null,"fwci":6.8282,"has_fulltext":false,"cited_by_count":42,"citation_normalized_percentile":{"value":0.98539578,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":99,"max":100},"biblio":{"volume":"41","issue":"4","first_page":"1","last_page":"16"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11694","display_name":"Fluid Dynamics Simulations and Interactions","score":0.9968000054359436,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11694","display_name":"Fluid Dynamics Simulations and Interactions","score":0.9968000054359436,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9962000250816345,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10586","display_name":"Robotic Path Planning Algorithms","score":0.9941999912261963,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6970134973526001},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.512799084186554},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.4508481025695801},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.43504345417022705},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4304952323436737},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.23326516151428223}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6970134973526001},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.512799084186554},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.4508481025695801},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.43504345417022705},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4304952323436737},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.23326516151428223},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/3528223.3530069","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3528223.3530069","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3528223.3530069","source":{"id":"https://openalex.org/S185367456","display_name":"ACM Transactions on Graphics","issn_l":"0730-0301","issn":["0730-0301","1557-7368"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Graphics","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1145/3528223.3530069","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3528223.3530069","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3528223.3530069","source":{"id":"https://openalex.org/S185367456","display_name":"ACM Transactions on Graphics","issn_l":"0730-0301","issn":["0730-0301","1557-7368"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Graphics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3740229143","display_name":null,"funder_award_id":"ORNL 4000171342","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G6164422014","display_name":null,"funder_award_id":"2016414;2011471;2153851;2153863;2023780","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320306084","display_name":"U.S. Department of Energy","ror":"https://ror.org/01bj3aw27"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4286611172.pdf","grobid_xml":"https://content.openalex.org/works/W4286611172.grobid-xml"},"referenced_works_count":77,"referenced_works":["https://openalex.org/W164384110","https://openalex.org/W363638684","https://openalex.org/W1554784453","https://openalex.org/W1646273348","https://openalex.org/W1965512225","https://openalex.org/W1967152690","https://openalex.org/W1969783366","https://openalex.org/W1972161707","https://openalex.org/W1980757084","https://openalex.org/W1992216295","https://openalex.org/W1998195206","https://openalex.org/W2000151369","https://openalex.org/W2005781236","https://openalex.org/W2024243735","https://openalex.org/W2024838691","https://openalex.org/W2032617361","https://openalex.org/W2033694016","https://openalex.org/W2034504303","https://openalex.org/W2036388470","https://openalex.org/W2043714500","https://openalex.org/W2047355785","https://openalex.org/W2055035360","https://openalex.org/W2055801400","https://openalex.org/W2059844941","https://openalex.org/W2071424786","https://openalex.org/W2075605912","https://openalex.org/W2089182646","https://openalex.org/W2096143679","https://openalex.org/W2101165370","https://openalex.org/W2118480893","https://openalex.org/W2124969394","https://openalex.org/W2127794343","https://openalex.org/W2132836675","https://openalex.org/W2148852797","https://openalex.org/W2164361535","https://openalex.org/W2171186721","https://openalex.org/W2248463013","https://openalex.org/W2249925049","https://openalex.org/W2530006557","https://openalex.org/W2550905413","https://openalex.org/W2552810306","https://openalex.org/W2611752399","https://openalex.org/W2738259880","https://openalex.org/W2769733039","https://openalex.org/W2791693147","https://openalex.org/W2795008545","https://openalex.org/W2902214888","https://openalex.org/W2903401272","https://openalex.org/W2914191128","https://openalex.org/W2963912340","https://openalex.org/W2981241579","https://openalex.org/W2982270720","https://openalex.org/W2983534281","https://openalex.org/W2983997314","https://openalex.org/W2989785309","https://openalex.org/W3006964082","https://openalex.org/W3010627761","https://openalex.org/W3022296642","https://openalex.org/W3048889784","https://openalex.org/W3107178544","https://openalex.org/W3111036211","https://openalex.org/W3123495837","https://openalex.org/W3183067110","https://openalex.org/W3184236041","https://openalex.org/W3184473468","https://openalex.org/W3185508278","https://openalex.org/W3211982974","https://openalex.org/W4206097460","https://openalex.org/W4206840271","https://openalex.org/W4211044098","https://openalex.org/W4211264908","https://openalex.org/W4229525926","https://openalex.org/W4235375376","https://openalex.org/W4239569515","https://openalex.org/W4244669781","https://openalex.org/W4250733865","https://openalex.org/W6600103761"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W2051487156","https://openalex.org/W2073681303","https://openalex.org/W2390279801","https://openalex.org/W4391913857","https://openalex.org/W2358668433","https://openalex.org/W4396701345","https://openalex.org/W2376932109"],"abstract_inverted_index":{"We":[0,58],"present":[1],"a":[2,46,82,104,149,168,206,221],"GPU":[3,170,261],"algorithm":[4,171,250],"for":[5,51,174],"deformable":[6,129],"simulation.":[7],"Our":[8],"method":[9,74],"offers":[10],"good":[11],"computational":[12],"efficiency":[13],"and":[14,39,55,89,245,257],"penetration-free":[15],"guarantee":[16],"at":[17,140,178,262],"the":[18,67,71,86,90,114,118,132,141,145,155,179,194,214,240,260],"same":[19],"time,":[20],"which":[21,107],"are":[22,138],"not":[23],"common":[24],"with":[25,70,98],"existing":[26],"techniques.":[27],"The":[28],"main":[29],"idea":[30],"is":[31,45,116,185,242],"an":[32,109,263],"algorithmic":[33],"integration":[34],"of":[35,120,128,152,182,254],"projective":[36],"dynamics":[37],"(PD)":[38],"incremental":[40],"potential":[41],"contact":[42],"(IPC).":[43],"PD":[44,61,158],"position-based":[47],"simulation":[48],"framework,":[49],"favored":[50],"its":[52],"robust":[53],"convergence":[54],"convenient":[56],"implementation.":[57],"show":[59],"that":[60,239],"can":[62],"be":[63],"employed":[64],"to":[65,93,154,160,233],"handle":[66],"variational":[68],"optimization":[69],"interior":[72],"point":[73],"e.g.,":[75],"IPC.":[76],"While":[77],"conceptually":[78],"straightforward,":[79],"this":[80,164],"requires":[81],"dedicated":[83],"rework":[84],"over":[85],"collision":[87,96],"resolution":[88],"iteration":[91],"modality":[92],"avoid":[94],"incorrect":[95],"projection":[97],"improved":[99],"numerical":[100],"convergence.":[101],"IPC":[102,147,236],"exploits":[103],"barrier-based":[105],"formulation,":[106],"yields":[108],"infinitely":[110],"large":[111,150],"penalty":[112],"when":[113],"constraint":[115],"on":[117,187,197,259],"verge":[119],"being":[121],"violated.":[122],"This":[123],"mechanism":[124],"guarantees":[125],"intersection-free":[126],"trajectories":[127],"bodies":[130],"during":[131],"simulation,":[133],"as":[134,136],"long":[135],"they":[137],"apart":[139],"rest":[142],"configuration.":[143],"On":[144],"downside,":[146],"brings":[148],"amount":[151],"nonlinearity":[153],"system,":[156],"making":[157],"slower":[159],"converge.":[161],"To":[162],"mitigate":[163],"issue,":[165],"we":[166,211],"propose":[167],"novel":[169],"named":[172],"A-Jacobi":[173,184],"faster":[175],"linear":[176],"solve":[177],"global":[180],"step":[181],"PD.":[183],"based":[186],"Jacobi":[188,203],"iteration,":[189],"but":[190],"it":[191],"better":[192],"harvests":[193],"computation":[195],"capacity":[196],"modern":[198],"GPUs":[199],"by":[200,219],"lumping":[201],"several":[202],"steps":[204],"into":[205],"single":[207],"iteration.":[208],"In":[209],"addition,":[210],"also":[212],"re-design":[213],"CCD":[215],"root":[216],"finding":[217],"procedure":[218],"using":[220],"new":[222],"minimum-gradient":[223],"Newton":[224],"algorithm.":[225],"Those":[226],"saved":[227],"time":[228],"budgets":[229],"allow":[230],"more":[231],"iterations":[232],"accommodate":[234],"stiff":[235],"barriers":[237],"so":[238],"result":[241],"both":[243,255],"realistic":[244],"collision-free.":[246],"Putting":[247],"together,":[248],"our":[249],"simulates":[251],"complicated":[252],"models":[253],"solids":[256],"shells":[258],"interactive":[264],"rate":[265],"or":[266],"even":[267],"in":[268],"real":[269],"time.":[270]},"counts_by_year":[{"year":2025,"cited_by_count":18},{"year":2024,"cited_by_count":11},{"year":2023,"cited_by_count":13}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}